Metrics for Bouland and Aaronson, Equation (25)

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 34 to 22 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation ival-pow, time spent: 0.0ms, 0.0% of total-time

sample2.3s (28.1%)

Results

1.3s	5051×	infinite
831.0ms	3204×	valid
0.0ms	1×	infinite

Precisions

Click to see histograms. Total time spent on operations: 1.5s

Operation ival-add, time spent: 546.0ms, 37.0% of total-time

Operation ival-mult, time spent: 484.0ms, 33.0% of total-time

Operation ival-sub, time spent: 286.0ms, 19.0% of total-time

Operation ival-pow, time spent: 106.0ms, 7.0% of total-time

Operation const, time spent: 49.0ms, 3.0% of total-time

Bogosity

preprocess2.4s (29.4%)

Algorithm

1×	egg-herbie

Rules

1222×	`unsub-neg`
1084×	`fma-def`
960×	`fma-neg`
612×	`distribute-lft-neg-out`
562×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 1 (*.f64 3 a))`
-	-	`b`
-	-	`(*.f64 3 a)`
-	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))`
-	-	`(+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))`
-	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)`
-	-	`(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))`
-	-	`(+.f64 1 a)`
-	-	`(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))`
-	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)`
-	-	`(+.f64 (.f64 a a) (.f64 b b))`
-	-	`(*.f64 b b)`
-	-	`4`
-	-	`(.f64 (.f64 a a) (+.f64 1 a))`
-	-	`3`
-	-	`a`
-	-	`2`
-	-	`1`
-	-	`(*.f64 a a)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	807
1	220	771
2	793	715
3	3659	715

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 (neg.f64 a) (neg.f64 a)) (+.f64 1 (neg.f64 a))) (.f64 (.f64 b b) (-.f64 1 (.f64 3 (neg.f64 a))))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 1 (.f64 3 a)))))) 1)
(neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 (neg.f64 a) (neg.f64 a)) (+.f64 1 (neg.f64 a))) (.f64 (.f64 b b) (-.f64 1 (.f64 3 (neg.f64 a))))))) 1))
(neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 1 (.f64 3 a)))))) 1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 1 b)) (.f64 (.f64 a a) (-.f64 1 (.f64 3 b)))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 a 1)) (.f64 (.f64 b b) (+.f64 1 (*.f64 a -3)))) -1))
(fma.f64 4 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 a 1)) (.f64 (.f64 b b) (+.f64 1 (*.f64 a -3)))) -1))
(fma.f64 4 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 (neg.f64 a) (neg.f64 a)) (+.f64 1 (neg.f64 a))) (.f64 (.f64 b b) (-.f64 1 (.f64 3 (neg.f64 a))))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 1 (.f64 -3 (neg.f64 a))))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 1 (.f64 a 3)))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (fma.f64 a 3 1))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 1 (.f64 3 a)))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 a 1)) (.f64 (.f64 b b) (+.f64 1 (*.f64 a -3)))) -1))
(fma.f64 4 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) -1))
(neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 (neg.f64 a) (neg.f64 a)) (+.f64 1 (neg.f64 a))) (.f64 (.f64 b b) (-.f64 1 (.f64 3 (neg.f64 a))))))) 1))
(neg.f64 (+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 1 (.f64 -3 (neg.f64 a))))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1))
(+.f64 (neg.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 1 (.f64 a 3)))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2))) 1)
(-.f64 1 (fma.f64 4 (fma.f64 a (.f64 a (-.f64 1 a)) (.f64 (.f64 b b) (fma.f64 a 3 1))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)))
(neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 1 (.f64 3 a)))))) 1))
(neg.f64 (+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1))
(+.f64 (neg.f64 (fma.f64 4 (fma.f64 a (.f64 a (+.f64 a 1)) (.f64 (.f64 b b) (+.f64 1 (.f64 a -3)))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2))) 1)
(-.f64 1 (fma.f64 4 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 1 b)) (.f64 (.f64 a a) (-.f64 1 (.f64 3 b)))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 b b) (+.f64 b 1) (.f64 a (.f64 a (+.f64 1 (.f64 -3 b)))))) 1))
(+.f64 (fma.f64 4 (fma.f64 a (.f64 a (+.f64 1 (.f64 b -3))) (+.f64 (.f64 b b) (pow.f64 b 3))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (fma.f64 b -3 1)) (fma.f64 b b (pow.f64 b 3))) -1))
(fma.f64 4 (fma.f64 a (.f64 a (fma.f64 b -3 1)) (fma.f64 b b (pow.f64 b 3))) (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) -1))

Symmetry

(abs b)

Compiler

Compiled 341 to 177 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.9s

Operation ival-add, time spent: 720.0ms, 38.0% of total-time

Operation ival-mult, time spent: 650.0ms, 34.0% of total-time

Operation ival-sub, time spent: 360.0ms, 19.0% of total-time

Operation ival-pow, time spent: 119.0ms, 6.0% of total-time

Operation const, time spent: 67.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 85 to 49 computations (42.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(fma.f64 4 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) -1))
▶	70.2%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
▶	71.8%	(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)

Status

Accuracy

Program

▶

72.2%

(fma.f64 4 (fma.f64 (*.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) 2) -1))

▶

70.2%

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

▶

71.8%

(+.f64 (+.f64 (*.f64 4 (fma.f64 (*.f64 a a) (+.f64 a 1) (*.f64 b (*.f64 b (+.f64 1 (*.f64 -3 a)))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)

Compiler

Compiled 92 to 59 computations (35.9% saved)

localize3.2s (38.4%)

Compiler: Compiled 386 to 195 computations (49.5% saved)
Precisions: Click to see histograms. Total time spent on operations: 2.6s
Operation ival-add, time spent: 1.0s, 39.0% of total-time
Operation ival-mult, time spent: 609.0ms, 23.0% of total-time
Operation ival-fma, time spent: 427.0ms, 16.0% of total-time
Operation ival-pow, time spent: 277.0ms, 11.0% of total-time
Operation ival-sub, time spent: 190.0ms, 7.0% of total-time
Operation const, time spent: 89.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune8.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	0	0
Total	3	3

Accuracy

73.7%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.2%	(fma.f64 4 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) -1))
✓	70.2%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
✓	71.8%	(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)

Status

Accuracy

Program

✓

72.2%

(fma.f64 4 (fma.f64 (*.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) 2) -1))

✓

70.2%

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

✓

71.8%

(+.f64 (+.f64 (*.f64 4 (fma.f64 (*.f64 a a) (+.f64 a 1) (*.f64 b (*.f64 b (+.f64 1 (*.f64 -3 a)))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)

Compiler

Compiled 180 to 110 computations (38.9% saved)

regimes18.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

(+.f64 (+.f64 (*.f64 4 (fma.f64 (*.f64 a a) (+.f64 a 1) (*.f64 b (*.f64 b (+.f64 1 (*.f64 -3 a)))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)

(fma.f64 4 (fma.f64 (*.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) 2) -1))

Outputs
(fma.f64 4 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) -1))

Calls

5 calls:

5.0ms	a
3.0ms	b
3.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
3.0ms	(*.f64 b b)
3.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Results

Accuracy	Segments	Branch
72.2%	1	`a`
72.2%	1	`b`
72.2%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)`
72.2%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))`
72.2%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes16.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

(+.f64 (+.f64 (*.f64 4 (fma.f64 (*.f64 a a) (+.f64 a 1) (*.f64 b (*.f64 b (+.f64 1 (*.f64 -3 a)))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)

Outputs
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)

Calls

5 calls:

5.0ms	a
3.0ms	b
3.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
3.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
71.8%	1	`a`
71.8%	1	`b`
71.8%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)`
71.8%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))`
71.8%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes17.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Calls

5 calls:

7.0ms	a
3.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
3.0ms	b
2.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
70.2%	1	`a`
70.2%	1	`b`
70.2%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)`
70.2%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))`
70.2%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 47 computations (37.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
24×	`*-commutative`
12×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	335
1	73	335
2	86	335
3	97	335
4	101	335
5	102	335

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(fma.f64 4 (fma.f64 (*.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) 2) -1))

(+.f64 (+.f64 (*.f64 4 (fma.f64 (*.f64 a a) (+.f64 a 1) (*.f64 b (*.f64 b (+.f64 1 (*.f64 -3 a)))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

Outputs
(fma.f64 4 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (fma.f64 a a (pow.f64 a 3))) (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) -1))
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 -1 (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 a -3))))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 a 1)) (.f64 (.f64 b b) (-.f64 1 (.f64 a 3)))))) 1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 a 1)) (.f64 (.f64 b b) (-.f64 1 (.f64 a 3)))))))

Compiler

Compiled 92 to 59 computations (35.9% saved)

soundness199.0ms (2.4%)

Rules

1222×	`unsub-neg`
1222×	`unsub-neg`
1084×	`fma-def`
1084×	`fma-def`
960×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	807
1	220	771
2	793	715
3	3659	715
0	60	807
1	220	771
2	793	715
3	3659	715

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 318 to 175 computations (45% saved)

end0.0ms (0%)

preprocess66.0ms (0.8%)

Remove: (abs b)
Compiler: Compiled 466 to 280 computations (39.9% saved)

analyze1.0ms (0%)

sample2.3s (28.1%)

preprocess2.4s (29.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize3.2s (38.4%)

eval0.0ms (0%)

prune8.0ms (0.1%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes17.0ms (0.2%)

simplify8.0ms (0.1%)

soundness199.0ms (2.4%)

end0.0ms (0%)

preprocess66.0ms (0.8%)

Profiling